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http://dx.doi.org/10.14317/jami.2014.027

ON GENERALIZED (α, β)-DERIVATIONS IN BCI-ALGEBRAS  

Al-Roqi, Abdullah M. (Department of Mathematics, King Abdulaziz University)
Publication Information
Journal of applied mathematics & informatics / v.32, no.1_2, 2014 , pp. 27-38 More about this Journal
Abstract
The notion of generalized (regular) (${\alpha},\;{\beta}$)-derivations of a BCI-algebra is introduced, some useful examples are discussed, and related properties are investigated. The condition for a generalized (${\alpha},\;{\beta}$)-derivation to be regular is provided. The concepts of a generalized F-invariant (${\alpha},\;{\beta}$)-derivation and ${\alpha}$-ideal are introduced, and their relations are discussed. Moreover, some results on regular generalized (${\alpha},\;{\beta}$)-derivations are proved.
Keywords
BCI-algebras; (${\alpha},\{\beta}$)-derivations; generalized(${\alpha},\{\beta}$)-derivations; regular generalized (${\alpha},\{\beta}$)-derivations;
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Times Cited By KSCI : 1  (Citation Analysis)
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